To me, falling snow is moving. But all that stuff falling close to the camera could be distracting. Maybe find a sheltered spot out of the snow and drag the shutter a bit so the snow closest (but not close enough to be "the picture") to the camera makes a slight blur Never tried this, so, good luck.

Like rain, snow is difficult to photograph. Falling snow looks much like fog in photographs. You need very large flakes for them to record properly and the low light conditions that usually accompany this kind of snow precludes the large depths of field and fast shutter speeds necessary to sharply image lots of flakes at once.

Movie crews use huge fans and copious quanitities of potato flakes (much larger than snowflakes) to make real-looking falling snow.

Trying to get a half decent image of falling snow (as in a fairly heavy snowstorm) - any suggestions on how best to approach this problem and get the image looking something like it looks to the eye?Thanks Ken

And lighting, the problem - fog effect is because there is no contrast between the snow and background. So try shining capturing the show in headlights at dusk. Or a shop window. The same applies to rain, you'll only capture the drops is when you have the light shining on the rain